■DE群多面体の面数公式(その403)
421の基本単体の頂点は,ρについて
P0(0,0,0,0,0,0,0,0)
P1(1,0,0,0,0,0,0,0)
P2(1,1/√3,0,0,0,0,0,0)
P3(1,1/√3,1/√6,0,0,0,0,0)
P4(1,1/√3,1/√6,1/√10,0,0,0,0)
P5(1,1/√3,1/√6,1/√10,1/√15,0,0,0)
P6(1,1/√3,1/√6,1/√10,1/√15,1/√21,0,0)
P8(1,1/√3,1/√6,1/√10,1/√15,1/√21,1/√28,√(9/4))
421の基本単体の頂点は,σについて
P0(0,0,0,0,0,0,0,0)
P1(1,0,0,0,0,0,0,0)
P2(1,1/√3,0,0,0,0,0,0)
P3(1,1/√3,1/√6,0,0,0,0,0)
P4(1,1/√3,1/√6,1/√10,0,0,0,0)
P5(1,1/√3,1/√6,1/√10,1/√15,0,0,0)
P6(1,1/√3,1/√6,1/√10,1/√15,1/√21,0,0)
P8(1,1/√3,1/√6,1/√10,1/√15,1/√21,√(2/7),√2)
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1/28+9/4=64/28=16/7
2/7+2=16/7 (一致)
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